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Simplifying 12 = 5(u + 6) + -8u Reorder the terms: 12 = 5(6 + u) + -8u 12 = (6 * 5 + u * 5) + -8u 12 = (30 + 5u) + -8u Combine like terms: 5u + -8u = -3u 12 = 30 + -3u Solving 12 = 30 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 12 + 3u = 30 + -3u + 3u Combine like terms: -3u + 3u = 0 12 + 3u = 30 + 0 12 + 3u = 30 Add '-12' to each side of the equation. 12 + -12 + 3u = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 3u = 30 + -12 3u = 30 + -12 Combine like terms: 30 + -12 = 18 3u = 18 Divide each side by '3'. u = 6 Simplifying u = 6
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